Signal chirp frequency schedule calculator

Calculate time, instantaneous frequency, accumulated phase with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use time, instantaneous frequency, accumulated phase to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Start frequency (Hz)
10
End frequency (Hz)
100
Sweep duration (seconds)
2
Sweep law: 0 linear; 1 logarithmic
0
Schedule intervals
10
Time, instantaneous frequency, accumulated phase (radians)
[[0,10,0],[0.2,19,18.2212373908],[0.4,28,47.7522083346],[0.6,37,88.5929128312],[0.8,46,140.743350881],[1,55,204.203522483],[1.2,64,278.973427639],[1.4,73,365.053066347],[1.6,82,462.442438608],[1.8,91,571.141544423],[2,100,691.15038379]]

Try another scenario

Start frequency (Hz)
11
End frequency (Hz)
100
Sweep duration (seconds)
2
Sweep law: 0 linear; 1 logarithmic
0
Schedule intervals
10
Time, instantaneous frequency, accumulated phase (radians)
[[0,11,0],[0.2,19.9,19.4150425992],[0.4,28.8,50.0141550451],[0.6,37.7,91.7973373379],[0.8,46.6,144.764589477],[1,55.5,208.915911464],[1.2,64.4,284.251303297],[1.4,73.3,370.770764977],[1.6,82.2,468.474296503],[1.8,91.1,577.361897877],[2,100,697.433569097]]
Calculation method

Calculation method

Time, instantaneous frequency, accumulated phase (radians)

Linear f=f0+(f1−f0)t/T; logarithmic f=f0 exp(log(f1/f0)t/T); integrate exactly.

Symbols and units
a
Start frequency (Hz)
b
End frequency (Hz)
c
Sweep duration (seconds)
d
Sweep law: 0 linear; 1 logarithmic
e
Schedule intervals

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Start-end frequencies, duration, sweep law. Returns Instantaneous frequency and phase. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Start frequency (Hz): minimum 1e-12, maximum 1000000000000.0. End frequency (Hz): minimum 1e-12, maximum 1000000000000.0. Sweep duration (seconds): minimum 1e-12, maximum 1000000000000.0. Sweep law: 0 linear; 1 logarithmic: minimum 0, maximum 1. Schedule intervals: minimum 1, maximum 128.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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